Question

Angle B and angle C are supplementary. If the measure of angle B is 14 times the measure of angle C, what is the measure of angle B?

Enter your answer as the correct value, like this: 42

explain why

Answer 1

Answer: Angle C- 12
Angle B- 168


Step-by-Step explanation:
Angle B + Angle C =180
We know that Angle B is 14times greater than Angle C. So that means Angle B is equal to Angle C * 14
Angle B= Angle C* 14
Angle C is equal to 180/Angle B
Angle C is equal to 180/Angle C* 14
Angle C is equal to 180/15
Angle C= 12 degrees
We can now use this information to find Angle B. Since we know Angle B + Angle C is equal to 180. That means 180-12= Angle B
Do Angle B is 180-12=168

Answer 2

angle B = 168 degrees

Explanation:

Supplementary means that the two angles add up to equal 180, so we know that B + C = 180.

We also know that B is 14 times C, so B = 14C.

We can replace B in the original equation with 14C, so we get 14C + C = 180. Simplify this to get C = 12.

Now we can multiply this by 14 to find B, so B = 168 degrees.